Resolver (36*10^8)^2div(6*10^2)^2

$$( 36 \times 10 ^ { 8 } ) ^ { 2 } \div ( 6 \times 10 ^ { 2 } ) ^ { 2 }$$

Calcular

$$36000000000000$$

Pasos da solución

Calcula 10 á potencia de 8 e obtén 100000000.

$$\frac{\left(36\times 100000000\right)^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Multiplica 36 e 100000000 para obter 3600000000.

$$\frac{3600000000^{2}}{\left(6\times 10^{2}\right)^{2}}$$

Calcula 3600000000 á potencia de 2 e obtén 12960000000000000000.

$$\frac{12960000000000000000}{\left(6\times 10^{2}\right)^{2}}$$

Calcula 10 á potencia de 2 e obtén 100.

$$\frac{12960000000000000000}{\left(6\times 100\right)^{2}}$$

Multiplica 6 e 100 para obter 600.

$$\frac{12960000000000000000}{600^{2}}$$

Calcula 600 á potencia de 2 e obtén 360000.

$$\frac{12960000000000000000}{360000}$$

Divide 12960000000000000000 entre 360000 para obter 36000000000000.

$$36000000000000$$

Factorizar

$$2^{14}\times 3^{2}\times 5^{12}$$